Career
Korotkov played football for Dynamo Moscow from 1923-1940 and CDKA Moscow from 1941-1946. In bandy, Korotkov was Soviet champions with Dynamo Moscow in 1933, 1935, and 1936. He started his ice hockey career in 1947 as the player-coach of CDKA Moscow.
Korotkov joined VVS Moscow and served as their player-coach from 1948-1950.
He spent the next nine years as a representative of ice hockey in the Committee of Physical Education and Sports of the Soviet Union. Korotkov was inducted into the Russian and Soviet Hockey Hall of Fame in 1952.